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Finding the Third Proportional to 497,132 and 745,752

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Solution

The third proportional to 497,132 and 745,752 is: 1,118,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,132 : 745,752 = 745,752 : x
  2. Step 2: Convert to fraction form
    497,132/745,752 = 745,752/x
  3. Step 3: Cross multiply
    497,132x = 745,752 × 745,752
  4. Step 4: Simplify right side
    497,132x = 556,146,045,504
  5. Step 5: Solve for x
    x = 556,146,045,504/497,132
  6. Step 6: Final answer
    x = 1,118,709.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.